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Finding the Third Proportional to 156,983 and 333,568

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Solution

The third proportional to 156,983 and 333,568 is: 708,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,983 : 333,568 = 333,568 : x
  2. Step 2: Convert to fraction form
    156,983/333,568 = 333,568/x
  3. Step 3: Cross multiply
    156,983x = 333,568 × 333,568
  4. Step 4: Simplify right side
    156,983x = 111,267,610,624
  5. Step 5: Solve for x
    x = 111,267,610,624/156,983
  6. Step 6: Final answer
    x = 708,787.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.